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Finding the Fourth Proportional to 2,649.48, 3,656 and 1,470.26

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Solution

The fourth proportional to 2,649.48, 3,656 and 1,470.26 is: 2,028.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.48 : 3,656 = 1,470.26 : x
  2. Step 2: Convert to fraction form
    2,649.48/3,656 = 1,470.26/x
  3. Step 3: Cross multiply
    2,649.48x = 3,656 × 1,470.26
  4. Step 4: Simplify right side
    2,649.48x = 5,375,270.56
  5. Step 5: Solve for x
    x = 5,375,270.56/2,649.48
  6. Step 6: Final answer
    x = 2,028.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.